How is a line defined in the context of GIS?

In the context of Geographic Information Systems (GIS), a line is defined as an ordered set of vertices. This definition highlights that the structure of a line is composed of discrete points (or vertices) that are connected in a specific sequence, resulting in a continuous path. Each vertex represents a coordinate in the spatial system, and the order of these vertices dictates the direction and shape of the line.

The concept of an ordered set is crucial because it implies that the arrangement of the vertices impacts the resulting geometry of the line. Unlike an unordered set of points, which does not convey a specific connection or sequence, an ordered set explicitly defines how the points are linked together, forming a coherent line.

Understanding this definition is essential for effectively modeling and analyzing linear features in GIS, such as roads, rivers, and boundaries. It allows for accurate representations of spatial relationships and supports various applications within the GIS framework.